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Finding the Fourth Proportional to 2,015.40, 2,712.15 and 2,015.40

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Solution

The fourth proportional to 2,015.40, 2,712.15 and 2,015.40 is: 2,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.40 : 2,712.15 = 2,015.40 : x
  2. Step 2: Convert to fraction form
    2,015.40/2,712.15 = 2,015.40/x
  3. Step 3: Cross multiply
    2,015.40x = 2,712.15 × 2,015.40
  4. Step 4: Simplify right side
    2,015.40x = 5,466,067.11
  5. Step 5: Solve for x
    x = 5,466,067.11/2,015.40
  6. Step 6: Final answer
    x = 2,712.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.